133558047866880 has 1792 divisors, whose sum is σ = 591674692492800. Its totient is φ = 28179280429056.

The previous prime is 133558047866827. The next prime is 133558047866891. The reversal of 133558047866880 is 88668740855331.

133558047866880 is a `hidden beast` number, since 1 + 3 + 3 + 558 + 0 + 4 + 7 + 8 + 6 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 133558047866799 and 133558047866808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10273695989754 + ... + 10273695989766.

It is an arithmetic number, because the mean of its divisors is an integer number (330175609650).

Almost surely, 2^{133558047866880} is an apocalyptic number.

133558047866880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133558047866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295837346246400).

133558047866880 is an abundant number, since it is smaller than the sum of its proper divisors (458116644625920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133558047866880 is an frugal number, since it uses more digits than its factorization.

133558047866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 133558047866880 in words is "one hundred thirty-three trillion, five hundred fifty-eight billion, forty-seven million, eight hundred sixty-six thousand, eight hundred eighty".